If you pause, it just pauses for a month, and will resume after this next month is done. Your sub will automatically restart after the next month’s games are completely revealed and the new early reveals for July are shown.
They make you click a lot of “Yes, I am sure I want to pause” before you can actually do it though… It tried to give me $2 off this month, then it tried to tell me that the Humble Trove and my 10% store discount won’t be there any more. And they make the questioning in such a way that you have to read it, otherwise, you are likely to click on resume subscription instead of pause. One of the choices between “No, I want to pause.” and “I want more games.” or something like that…
So of course you cannot access the trove for the month, and you cannot get the store discount
There used to be an incentive to stay in for Humble Bundles, where you get store credit if you are a HM subscriber and you buy the full bundles, now that’s not even there. So I might just start doing it month by month and only taking the months where I want the early reveal options.